Average Error: 31.1 → 31.1
Time: 5.1s
Precision: 64
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
↓
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
↓
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
double f(double a) {
        double r85562 = a;
        double r85563 = asin(r85562);
        double r85564 = fmod(r85562, r85563);
        double r85565 = atan(r85564);
        double r85566 = r85562 * r85562;
        double r85567 = pow(r85565, r85566);
        return r85567;
}
↓
double f(double a) {
        double r85568 = a;
        double r85569 = asin(r85568);
        double r85570 = fmod(r85568, r85569);
        double r85571 = atan(r85570);
        double r85572 = r85568 * r85568;
        double r85573 = pow(r85571, r85572);
        return r85573;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.1

    \[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]

  2. Final simplification31.1

    \[\leadsto {\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]

Reproduce

herbie shell --seed 2020020 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))